Careers360 Logo
ask-icon
share
    NEET Physics Mock Test 2026: Download PDF Physic Practice Test

    Optical Path MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • 4 Questions around this concept.

    Solve by difficulty

    A ray of light AO in a vacuum is incident on a glass slab at angle $60^{\circ}$ and refracted at angle $30^{\circ}$ along OB as shown in the figure. The optical path length of light ray from $A$ to $B$ is: 

    Concepts Covered - 1

    Optical path

    Optical path-

    It is defined as the distance travelled by light in a vacuum, in the same time in which it travels a
    given path length in a medium.

    Let light cover distance t in the medium having a refractive index as \mu in Time T.

    So  T=\frac{t}{v} where v=speed of light in the medium

    and \mu=\frac{c}{v}  where c=speed of light in the vacuum.

    So T=\frac{t\mu }{c}

    So in the same time T distance covered by light in a vacuum is l= cT=c*\frac{\mu t}{c}=\mu t

    So the relation between geometrical path (t) and optical path (l) is given as l= \mu t

    • For two medium in contact as shown in the below figure

    the optical path is equal to \mu_{1} x_{1}+\mu_{2} x_{2}

    • Change in the optical path in a transparent slab

    Consider the following two cases

    Case I-  A light cover distance l=AB

    So the optical path in this case is L_1=l

    Case II- Now a slab of thickness t is placed between A and B

    So distance travells in slab=t

    and distance travells in air=l-t

    So the optical path in this case is  L_2=(l-t)+\mu t

    Now change in the optical path = \Delta x=L_2-L_1= [(l-t)+\mu t]-[l]=t(\mu -1)

    I.e due to insertion of the slab the optical path is increased by \Delta x =t(\mu -1)

     

    Study it with Videos

    Optical path

    "Stay in the loop. Receive exam news, study resources, and expert advice!"

    Get Answer to all your questions